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18 February, 12:09

The relationship between voltage, E, current, I, and resistance, Z, is given by the equation E = IZ. If a circuit has a current I = 3 + 2i and a resistance Z = 2 - i, what is the voltage of the circuit? 4 - i

4 + i

8 + i

8 + 7i

+2
Answers (1)
  1. 18 February, 13:50
    0
    The voltage of the circuit is 8 + i

    Step-by-step explanation:

    ∵ E = IZ

    ∵ I = 3 + 2i

    ∵ Z = 2 - i

    ∴ E = (3 + 2i) (2 - i) = 6 - 3i + 4i - 2i²

    ∴ E = 6 + i - 2 (-1) ⇒ i² = - 1

    ∴ E = 6 + i + 2 = 8 + i
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